Product dynamics for homoclinic attractors

  title={Product dynamics for homoclinic attractors},
  author={By Peter Ashwin and Michael Field},
Heteroclinic cycles may occur as structurally stable asymptotically stable attractors if there are invariant subspaces or symmetries of a dynamical system. Even for cycles between equilibria, it may be difficult to obtain results on the generic behaviour of trajectories converging to the cycle. For more complicated cycles between chaotic sets, the nontrivial dynamics of the ‘nodes’ can interact with that of the ‘connections’. This paper focuses on some of the simplest problems for such dynamics… CONTINUE READING

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